Abstract
Velocities and other features of propagating fronts in the lattice-gas model analyzed by Bramsonet al. are computed by Monte Carlo simulation. The propagation velocityν(γ) is found to converge slowly to its asymptotic dependence on the exchange-rate parameterγ. The number density of occupied sites in the “interaction zone” (extending from the forwardmost occupied to the rearmost unoccupied site) appears to converge to 2/3 for largeγ. Spatial profiles of site occupancy and interface number density for finiteγ are compared to the profiles originally computed by Fisher using the differential equation obeyed in the large-γ limit. Several significant features inferred from the computations have not yet been explained analytically.
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Kerstein, A.R. Computational study of propagating fronts in a Lattice-gas model. J Stat Phys 45, 921–931 (1986). https://doi.org/10.1007/BF01020582
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DOI: https://doi.org/10.1007/BF01020582